Fill in the blanks.
The ratio of the number of girls to the number of boys in Class A is 7 : 4.
The ratio of the number of girls to the number of boys in Class B is 6 : 7.
The number of girls is the same.
- Difference in the number of children in Class A and Class B = _____ u
- Difference in the number of boys in Class A and Class B = _____ u
- Total number of girls = _____ u
- Total number of boys = _____ u
(a)
Class A |
Class B |
Girls |
Boys |
Girls |
Boys |
7 x 6 |
4 x 6 |
6 x 7 |
7 x 7 |
42 u |
24 u |
42 u |
49 u |
Change ratio into units.
The number of girls in Class A and Class B is the same.
LCM of 7 and 6 = 42
Number of children in Class A
= 42 u + 24 u
= 66 u
Number of children in Class B
= 42 u + 49 u
= 91 u
Difference in the number of children in Class A and Class B
= 91 u - 66 u
= 25 u
(b)
Number of boys in Class A = 24 u
Number of boys in Class B = 49 u
Difference in the number of boys in Class A and Class B
= 49 u - 24 u
= 25 u
(c)
Number of girls in Class A = 42 uNumber of girls in Class B = 42 u Total number of girls = 42 u + 42 u= 84 u (d)
Total number of boys in Class A and Class B
= 49 u + 24 u
= 73 u
Answer(s)
: (a) 25; (b) 25; (c) 84; (d) 73